105000010575 has 48 divisors (see below), whose sum is σ = 177000055200. Its totient is φ = 54904711680.

The previous prime is 105000010571. The next prime is 105000010601. The reversal of 105000010575 is 575010000501.

It is not a de Polignac number, because 105000010575 - 2² = 105000010571 is a prime.

It is a super-2 number, since 2×105000010575² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105000010571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6148749 + ... + 6165801.

It is an arithmetic number, because the mean of its divisors is an integer number (3687501150).

Almost surely, 2^105000010575 is an apocalyptic number.

105000010575 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105000010575 is a deficient number, since it is larger than the sum of its proper divisors (72000044625).

105000010575 is a wasteful number, since it uses less digits than its factorization.

105000010575 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18668 (or 18663 counting only the distinct ones).

The product of its (nonzero) digits is 875, while the sum is 24.

The spelling of 105000010575 in words is "one hundred five billion, ten thousand, five hundred seventy-five".